Physics - Wave Optics Question with Solution | TestHub

PhysicsWave OpticsYDSEEasy2 minQB
PhysicsEasysingle choice

InYDSE, the slits have different widths. As a result, the amplitude of waves from two slits isAand2Arespectively. IfI0be the maximum intensity of the interference pattern then the intensity of the pattern at a point where the phase difference between waves isϕis given byI0P5+4cos⁡ϕ. Where P is in  integer. Find the value of P?

Options:

Answer:
A
Solution:

As the amplitudes areAand2Athen the ratio of intensities is 1:4

Imax=I0=I1+I2+2I1×I2=I+4I+2×2I

I0=9I⇒I=I09

Intensity at any point:

I'=I1+I2+2I1×I2cosϕ

I'=I+4I+2I×4Icosϕ

I'=5I+4Icosϕ ; I'=I5+4cosϕ

I'=I095+4cosϕ=I0P5+4cosϕ

P=9

Stream:JEESubject:PhysicsTopic:Wave OpticsSubtopic:YDSE
⏱ 2mℹ️ Source: QB

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